PowerBall · every number
21
Number 21 In PowerBall under the 5/45 + 1/20 · Oct 2009 – Jun 2018 rules — 896 draws, 5 from 1–45 (an earlier era).
Main numbers Stars 5/50 + 1/20 · since Jun 2018 5/45 + 1/20 · Oct 2009 – Jun 2018 100 times drawn · chance expected 100 +0.05σ
7 draws waiting · a wait this long: 49% for any number
8.8 average wait between appearances · chance says 9.0
39 longest completed wait · 68% chance of one at least that long
21 is drawn as often as chance explains Drawn 100 times in 896 draws against 99.6 expected, +0.05σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.
21 Number 21, draw by draw Drawn 100 times in 896 draws · average wait 8.8 draws · longest completed wait 39 · waiting 7 draws now
4 draws: 2010-01-01 to 2010-01-15 1 draws: 2010-01-15 to 2010-01-19 2 draws: 2010-01-19 to 2010-01-26 3 draws: 2010-01-26 to 2010-02-05 19 draws: 2010-02-05 to 2010-04-16 11 draws: 2010-04-16 to 2010-05-25 12 draws: 2010-05-25 to 2010-07-06 4 draws: 2010-07-06 to 2010-07-20 3 draws: 2010-07-20 to 2010-07-30 6 draws: 2010-07-30 to 2010-08-20 14 draws: 2010-08-20 to 2010-10-08 7 draws: 2010-10-08 to 2010-11-02 17 draws: 2010-11-02 to 2010-12-31 4 draws: 2010-12-31 to 2011-01-14 15 draws: 2011-01-14 to 2011-03-08 21 draws: 2011-03-08 to 2011-05-24 21 draws: 2011-05-24 to 2011-08-05 3 draws: 2011-08-05 to 2011-08-16 1 draws: 2011-08-16 to 2011-08-19 12 draws: 2011-08-19 to 2011-09-30 4 draws: 2011-09-30 to 2011-10-14 19 draws: 2011-10-14 to 2011-12-20 1 draws: 2011-12-20 to 2011-12-23 4 draws: 2011-12-23 to 2012-01-06 14 draws: 2012-01-06 to 2012-02-24 4 draws: 2012-02-24 to 2012-03-09 3 draws: 2012-03-09 to 2012-03-20 24 draws: 2012-03-20 to 2012-06-15 1 draws: 2012-06-15 to 2012-06-19 1 draws: 2012-06-19 to 2012-06-22 9 draws: 2012-06-22 to 2012-07-24 4 draws: 2012-07-24 to 2012-08-07 2 draws: 2012-08-07 to 2012-08-14 39 draws: 2012-08-14 to 2013-01-01 1 draws: 2013-01-01 to 2013-01-04 7 draws: 2013-01-04 to 2013-01-29 8 draws: 2013-01-29 to 2013-02-26 15 draws: 2013-02-26 to 2013-04-23 3 draws: 2013-04-23 to 2013-05-03 1 draws: 2013-05-03 to 2013-05-07 23 draws: 2013-05-07 to 2013-07-26 6 draws: 2013-07-26 to 2013-08-16 12 draws: 2013-08-16 to 2013-09-27 20 draws: 2013-09-27 to 2013-12-06 1 draws: 2013-12-06 to 2013-12-10 16 draws: 2013-12-10 to 2014-02-04 1 draws: 2014-02-04 to 2014-02-07 2 draws: 2014-02-07 to 2014-02-14 7 draws: 2014-02-14 to 2014-03-11 19 draws: 2014-03-11 to 2014-05-20 7 draws: 2014-05-20 to 2014-06-13 5 draws: 2014-06-13 to 2014-07-01 6 draws: 2014-07-01 to 2014-07-22 9 draws: 2014-07-22 to 2014-08-22 3 draws: 2014-08-22 to 2014-09-02 3 draws: 2014-09-02 to 2014-09-12 3 draws: 2014-09-12 to 2014-09-23 6 draws: 2014-09-23 to 2014-10-14 3 draws: 2014-10-14 to 2014-10-24 2 draws: 2014-10-24 to 2014-10-31 8 draws: 2014-10-31 to 2014-11-28 10 draws: 2014-11-28 to 2015-01-02 18 draws: 2015-01-02 to 2015-03-06 5 draws: 2015-03-06 to 2015-03-24 13 draws: 2015-03-24 to 2015-05-12 2 draws: 2015-05-12 to 2015-05-19 5 draws: 2015-05-19 to 2015-06-05 2 draws: 2015-06-05 to 2015-06-12 11 draws: 2015-06-12 to 2015-07-21 2 draws: 2015-07-21 to 2015-07-28 14 draws: 2015-07-28 to 2015-09-15 2 draws: 2015-09-15 to 2015-09-22 1 draws: 2015-09-22 to 2015-09-25 13 draws: 2015-09-25 to 2015-11-10 25 draws: 2015-11-10 to 2016-02-09 13 draws: 2016-02-09 to 2016-03-25 16 draws: 2016-03-25 to 2016-05-20 6 draws: 2016-05-20 to 2016-06-10 4 draws: 2016-06-10 to 2016-06-24 12 draws: 2016-06-24 to 2016-08-05 11 draws: 2016-08-05 to 2016-09-13 19 draws: 2016-09-13 to 2016-11-18 2 draws: 2016-11-18 to 2016-11-25 9 draws: 2016-11-25 to 2016-12-27 5 draws: 2016-12-27 to 2017-01-13 8 draws: 2017-01-13 to 2017-02-10 16 draws: 2017-02-10 to 2017-04-07 3 draws: 2017-04-07 to 2017-04-18 5 draws: 2017-04-18 to 2017-05-05 13 draws: 2017-05-05 to 2017-06-20 7 draws: 2017-06-20 to 2017-07-14 30 draws: 2017-07-14 to 2017-10-27 5 draws: 2017-10-27 to 2017-11-14 13 draws: 2017-11-14 to 2017-12-29 1 draws: 2017-12-29 to 2018-01-02 10 draws: 2018-01-02 to 2018-02-06 12 draws: 2018-02-06 to 2018-03-20 7 draws: 2018-03-20 to 2018-04-13 13 draws: 2018-04-13 to 2018-05-29 Still waiting — at least 7 draws since 2018-05-29 2010-01-01 2010-01-15 2010-01-19 2010-01-26 2010-02-05 2010-04-16 2010-05-25 2010-07-06 2010-07-20 2010-07-30 2010-08-20 2010-10-08 2010-11-02 2010-12-31 2011-01-14 2011-03-08 2011-05-24 2011-08-05 2011-08-16 2011-08-19 2011-09-30 2011-10-14 2011-12-20 2011-12-23 2012-01-06 2012-02-24 2012-03-09 2012-03-20 2012-06-15 2012-06-19 2012-06-22 2012-07-24 2012-08-07 2012-08-14 2013-01-01 2013-01-04 2013-01-29 2013-02-26 2013-04-23 2013-05-03 2013-05-07 2013-07-26 2013-08-16 2013-09-27 2013-12-06 2013-12-10 2014-02-04 2014-02-07 2014-02-14 2014-03-11 2014-05-20 2014-06-13 2014-07-01 2014-07-22 2014-08-22 2014-09-02 2014-09-12 2014-09-23 2014-10-14 2014-10-24 2014-10-31 2014-11-28 2015-01-02 2015-03-06 2015-03-24 2015-05-12 2015-05-19 2015-06-05 2015-06-12 2015-07-21 2015-07-28 2015-09-15 2015-09-22 2015-09-25 2015-11-10 2016-02-09 2016-03-25 2016-05-20 2016-06-10 2016-06-24 2016-08-05 2016-09-13 2016-11-18 2016-11-25 2016-12-27 2017-01-13 2017-02-10 2017-04-07 2017-04-18 2017-05-05 2017-06-20 2017-07-14 2017-10-27 2017-11-14 2017-12-29 2018-01-02 2018-02-06 2018-03-20 2018-04-13 2018-05-29 2009-10-23 2018-06-22
1 draws: 11 times 2 draws: 9 times 3 draws: 10 times 4 draws: 8 times 5 draws: 6 times 6 draws: 5 times 7 draws: 6 times 8 draws: 3 times 9 draws: 3 times 10 draws: 2 times 11 draws: 3 times 12 draws: 5 times 13 draws: 6 times 14 draws: 3 times 15 draws: 2 times 16 draws: 3 times 17 draws: 1 time 18 draws: 1 time 19 draws: 4 times 20 draws: 1 time 21 draws: 2 times 22 draws: 0 times 23 draws: 1 time 24 draws: 1 time 25 draws: 1 time 26 draws: 0 times 27 draws: 0 times 28 draws: 0 times 29 draws: 0 times 30 draws: 1 time 31 draws: 0 times 32 draws: 0 times 33 draws: 0 times 34 draws: 0 times 35 draws: 0 times 36 draws: 0 times 37 draws: 0 times 38 draws: 0 times 39 draws: 1 time 40 draws: 0 times its own waits draws between appearances Where it lands in a sorted draw Sort a draw and 21 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
1st smallest 5 · chance 7.8 2nd smallest 33 · chance 29.8 3rd smallest 39 · chance 38.6 4th smallest 21 · chance 20.2 5th smallest 2 · chance 3.6 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 9.1 shared draws, and the leaders are simply the ones that came out ahead this time.
It has shared a draw with every one of the other 44 numbers; chance expected about 0.0 still unmet by now. Every pair →
How many people play it Under the crowd model, 21 is picked about 1.22× as often as an indifferent choice — 15th most popular of 45. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.
Numbers 1–31 — the birthday zone ×1.22 The model and its sources → · What people believe about 21 →
Every draw it appeared in ← number 20 Every number number 22 → What this cannot tell you Nothing here predicts the next draw. A number’s history is a record of a fair machine’s past, and the machine keeps none of it: 21 is drawn with probability 5/45 tonight whatever it did last week.